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Finding the Fourth Proportional to 564,492.92, 778,971.80 and 335,060.22

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Solution

The fourth proportional to 564,492.92, 778,971.80 and 335,060.22 is: 462,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,492.92 : 778,971.80 = 335,060.22 : x
  2. Step 2: Convert to fraction form
    564,492.92/778,971.80 = 335,060.22/x
  3. Step 3: Cross multiply
    564,492.92x = 778,971.80 × 335,060.22
  4. Step 4: Simplify right side
    564,492.92x = 261,002,462,681.80
  5. Step 5: Solve for x
    x = 261,002,462,681.80/564,492.92
  6. Step 6: Final answer
    x = 462,366.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.